English

No go for a flow

High Energy Physics - Theory 2020-06-24 v2

Abstract

We prove that a very large class of 1550215502 general Argyres-Douglas theories cannot admit a UV lagrangian which flows to them via the Maruyoshi-Song supersymmetry enhancement mechanism. We do so by developing a computer program which brute-force lists, for any given 4d N=2\mathcal{N}=2 superconformal theory TIR\mathcal{T}_{\text{IR}}, all possible UV candidate superconformal lagrangians TUV\mathcal{T}_{\text{UV}} satisfying some necessary criteria for the supersymmetry enhancement to happen. We argue that this is enough evidence to conjecture that it is impossible, in general, to find new examples of Maruyoshi-Song lagrangians for generalized Argyres-Douglas theories. All lagrangians already known are, on the other hand, recovered and confirmed in our scan. Finally, we also develop another program to compute efficiently Coulomb branch spectrum, masses, couplings and central charges for (G,G)(G,G') Argyres-Douglas theories of arbitrarily high rank.

Cite

@article{arxiv.2002.07816,
  title  = {No go for a flow},
  author = {Federico Carta and Alessandro Mininno},
  journal= {arXiv preprint arXiv:2002.07816},
  year   = {2020}
}

Comments

37 pages, 2 figures, 15 tables, 3 ancillary files. version 2, accepted in JHEP

R2 v1 2026-06-23T13:45:55.511Z